82250400 has 144 divisors (see below), whose sum is σ = 274294944. Its totient is φ = 21396480.

The previous prime is 82250383. The next prime is 82250401. The reversal of 82250400 is 405228.

It is not an unprimeable number, because it can be changed into a prime (82250401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102802 + ... + 103598.

It is an arithmetic number, because the mean of its divisors is an integer number (1904826).

Almost surely, 2^82250400 is an apocalyptic number.

82250400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137147472).

82250400 is an abundant number, since it is smaller than the sum of its proper divisors (192044544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82250400 is a wasteful number, since it uses less digits than its factorization.

82250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 82250400 is about 9069.2006262956. The cubic root of 82250400 is about 434.8899179764.

Adding to 82250400 its reverse (405228), we get a palindrome (82655628).

The spelling of 82250400 in words is "eighty-two million, two hundred fifty thousand, four hundred".